Find the area of the region bounded by the curve y² = x and the line x = 4.
Correct: B
The area bounded by the curve y² = x and the line x = 4 is given by ∫₋₂² (4 - y²) dy. Since the function is symmetric about the x-axis, we can write the area as 2 * ∫₀² (4 - y²) dy = 2 * [4y - (y³/3)]₀² = 2 * (8 - 8/3) = 2 * (24/3 - 8/3) = 2 * (16/3) = 32/3.